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Finding the Third Proportional to 30,521 and 44,962

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Solution

The third proportional to 30,521 and 44,962 is: 66,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,521 : 44,962 = 44,962 : x
  2. Step 2: Convert to fraction form
    30,521/44,962 = 44,962/x
  3. Step 3: Cross multiply
    30,521x = 44,962 × 44,962
  4. Step 4: Simplify right side
    30,521x = 2,021,581,444
  5. Step 5: Solve for x
    x = 2,021,581,444/30,521
  6. Step 6: Final answer
    x = 66,235.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.